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Finding the Third Proportional to 378,364 and 567,600

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Solution

The third proportional to 378,364 and 567,600 is: 851,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,364 : 567,600 = 567,600 : x
  2. Step 2: Convert to fraction form
    378,364/567,600 = 567,600/x
  3. Step 3: Cross multiply
    378,364x = 567,600 × 567,600
  4. Step 4: Simplify right side
    378,364x = 322,169,760,000
  5. Step 5: Solve for x
    x = 322,169,760,000/378,364
  6. Step 6: Final answer
    x = 851,481.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.